Do I need to immigrate to the US to invest?

[Halukcan Baser]

Hello people

The topic sums it up, I want to get into the RE market in the US. I have a 10 year tourist visa. I want to buy some properties, rent them out, renovate and flip some of them. But the thing is I dont see myself living in the USA on a permanent basis so I dont want to apply for a greencard or a work permit. I'll only come for short stints, like twice or three times every year.

So basically I have 3 questions.

1. Can I invest without having a work permit or greencard?

2. How do I handle the tax stuff? Can I do it without holding a Permanent Residence status?

3. I have cash, but for some deals I might want to take out a mortgage, how will the banks lend to me without knowing my credit score? Since I've never lived in the US before I dont have a credit score.

Thanks for the answers!